Answer:
a) distance from plane to swimmer = 2127.66 m
b) distance from swimmer to point D = 1928.31 m
Step-by-step explanation:
Given the question,
height at which the plane is = 900m
angle of depression = 25°
If we closely observe, the whole scene is making an right angle triangle
So, we can use trigonometry identities
cos (90-25) = 900 / AB
0.423 = 900 /AB
AB = 2127.66 m
sin(90-25) = AD /2127.66
AD = sin(90-25) x 2127.66
AD = 1928.31m
Hey there!
First, set up an exponential equation that represents the rate at which your original amount, 1000, gains interest:
y = 1000(1.24)^x
Y represents the value after X years. 1.24 represents the rate at which the money gains interest, 1 + 0.24 (your 24% interest rate in decimal form). 1000 is your original amount.
Now, set this equation equal to 64000, graph y = 64000 and y = 1000(1.24)^x on a graphing calculator, and see where the two equations intersect in order to solve for x.
They intersect when x is about 19.334, as seen in the graph below (it is very zoomed in so that you can see where the two functions intersect). Therefore, it will be about 19 years after the year in which you deposited the 1000 dollars before the money is worth 64000 dollars.
Answer: (–1)(525) and (35)(–15) are equivalent to (- 7) (-15) (- 5)
Step-by-step explanation:
Given (- 7) (-15) (- 5)
To Find : Which two expressions that are equivalent (- 7) (-15) (- 5)
(–7)(–75) and (–1)(525)
(–1)(525) and (35)(–15)
(35)(–15) and (115)(–5)
(–1)(525) and (115)(–5)
Solution:
(- 7) (-15) (- 5)
= (105)(-5)
= - 525
(–7)(–75) and (–1)(525)
= 525 & - 525
not Equal
(–1)(525) and (35)(–15)
= -525 and - 525
Both Equal to (- 7) (-15) (- 5)
(35)(–15) and (115)(–5)
= -525 and - 575
not Equal
(–1)(525) and (115)(–5)
= -525 and - 575
not Equal
(–1)(525) and (35)(–15) are equivalent to (- 7) (-15) (- 5)
The pair of expressions equivalent to (Negative 7) (Negative 15) (Negative 5) are (Negative 7) (Negative 75) and (Negative 1) (525) because both pair of expressions result in -525.
The question asks which pair of expressions are equivalent to the expression (Negative 7) (Negative 15) (Negative 5). For this, we need to remember the rule in mathematics that the multiplication of two negative numbers gives a positive result and the multiplication of three negative numbers gives a negative result.
So, (Negative 7) (Negative 15) (Negative 5) equals to -7*15*5 = -525. Now, among the given options, the pair of expressions that are equivalent to -525 are (Negative 7) (Negative 75) and (Negative 1) (525), because -7*75 also equals -525, and -1*525 equals -525 as well.
Therefore, the pairs of expressions equivalent to (Negative 7) (Negative 15) (Negative 5) are (Negative 7) (Negative 75) and (Negative 1) (525).
#SPJ11
A.
3 × (20 – 15)
B.
20 × (15 + 3)
C.
3 × (20 + 15)
D.
20 × (15 – 3)
Answer:
C. 3 × (20 + 15)
Step-by-step explanation:
If Ben practices this way every day, then the amount of time should be the same.
20 minutes of song practice, 15 minutes of scale practice.
20+15=35
multiply the 35 minutes per day by three
35 times 3 equals 105
So the answer is C.
3 × (20 + 15)
3(35)=105
Answer:
C. 3 x (20 + 15)
Step-by-step explanation:
You have to add 20 + 15 to get 45 so the 20 + 15 goes in the (). It says how much time he has practiced in 3 days so you have to multiply the things in the () by 3 so the 3 goes out side the ().